Search a number
-
+
27395648 = 26761151
BaseRepresentation
bin110100010000…
…0011001000000
31220112211202122
41220200121000
524003130043
62415103412
7451600460
oct150403100
956484678
1027395648
1114511835
129211b68
1358a2757
1438d1ba0
152612368
hex1a20640

27395648 has 28 divisors (see below), whose sum is σ = 62130432. Its totient is φ = 11740800.

The previous prime is 27395623. The next prime is 27395671. The reversal of 27395648 is 84659372.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 27395599 and 27395608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30128 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 227395648 is an apocalyptic number.

27395648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27395648 is an abundant number, since it is smaller than the sum of its proper divisors (34734784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27395648 is an equidigital number, since it uses as much as digits as its factorization.

27395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61170 (or 61160 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 27395648 is about 5234.0852113813. The cubic root of 27395648 is about 301.4582630406.

The spelling of 27395648 in words is "twenty-seven million, three hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 61151 122302 244604 428057 489208 856114 978416 1712228 1956832 3424456 3913664 6848912 13697824 27395648